What is the integral from 1 to 3 of (x+2)^3 ?

The integral from 1 to 3 of (x+2)^3 is 136

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integral from 1 to 3 of (x+2)^3

\int_{1}^{3} (x + 2)^{3} d x

136

Solution steps

\int_{1}^{3} (x + 2)^{3} d x

Apply u-substitution

: \int_{3}^{5} u^{3} d u

= \int_{3}^{5} u^{3} d u

Apply the Power Rule

: [\frac{u ^{4}}{4}]_{3}^{5}

= [\frac{u ^{4}}{4}]_{3}^{5}

Compute the boundaries:

136

= 136

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What is the integral from 1 to 3 of (x+2)^3 ?
The integral from 1 to 3 of (x+2)^3 is 136